E = VIt lim_x→a f(x)/g(x) = lim_x→a f'(x)/g'(x) f(x) = Σ_n=0∞ (f⁽ⁿ⁾(0)/n!)xⁿ v = u + at Equivalent Weight = Molecular Weight/n m = f'(x) d/dx(cos x) = -sin x ΔT_f = iK_fm d/dx(sin x) = cos x I = ½ Σ c_i z_i² sin A + sin B = 2 sin((A+B)/2) cos((A-B)/2) P(n, r) = n!/(n-r)! ΔT_b = iK_bm Rate = k[A]^m[B]ⁿ n₁ sinθ₁ = n₂ sinθ₂ λ = h/p pK_a = -log K_a p = mv F = ma e = (v₂ - v₁)/(u₁ - u₂) d/dx(ln x) = 1/x F_x + F_y(dy/dx) = 0 c = λf n = mass/M ∫(dx/x) = ln|x| + C

K_c = ([C]^c[D]^d)/([A]^a[B]^b) s = (a+b+c)/2, A = √(s(s-a)(s-b)(s-c)) α + β = -b/a ΔG = ΔH - TΔS A = Pe^rt F = q(E + v × B) A = ½|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)| a_n = ar^{n - 1} d = |Ax₀ + By₀ + C|/√(A²+B²) x = a sinθ f'(a) = lim_h→0 (f(a+h)-f(a))/h a_n = a + (n - 1)d d/dx(e^x) = e^x P = W/t log_b a = ln a/ln b T = 2π√(L/g) V = (4/3)πr³ αβ = c/a V = L(dI/dt) cos²(θ/2) = (1 + cosθ)/2 (x-h)² + (y-k)² = r² Q = It 1/f = 1/v + 1/u A = ½ab sin C ε = -dΦ/dt

F = k( q₁q₂ )/r² (1+x)ⁿ = Σ ⁿ C _k.x^k S_n = a(1 - rⁿ)/(1 - r) E = hf sin x = Σ (-1)ⁿ x⁽²ⁿ⁺¹⁾/(2n+1)! n = c/v S_n = (n/2)[2a + (n - 1)d] m = (y₂ - y₁)/(x₂ - x₁) x = [-b ± √(b² - 4ac)]/(2a) W = Fd cosθ ∫ u dv = uv - ∫ v du A = ab sinθ V = IR (a+b)ⁿ = Σ_k=0ⁿ (nCk)a^n-kb^k f(x) = Σ_n=0∞ (f⁽ⁿ⁾(a)/n!)(x-a)ⁿ y - y₁ = m(x - x₁) P = IV K.E. = ½mv² sin²θ + cos²θ = 1 cos 2θ = cos²θ - sin²θ S = a/(1 - r) Percent Purity = (mass of pure substance/mass of sample) × 100 F_c = mv²/r sin 2θ = 2 sinθ cosθ M = moles/volume

v² = u² + 2as Φ = BA cosθ e^x = Σ xⁿ/n! ln(P₂/P₁) = -ΔH_vap/R (1/T₂ - 1/T₁) π = MRT cos x = Σ (-1)ⁿ x⁽²ⁿ⁾/(2n)! E = E° - (0.0591/n) log Q a_c = v²/r sin²(θ/2) = (1 - cosθ)/2 P_solution = X_solvent × P^°_solvent U = mgh A = πab pH = -log[H⁺] A = ∫_a^b f(x) dx 2 sin A cos B = sin(A+B) + sin(A-B) C(n, r) = n!/(r!(n-r)!) (f(g(x)))' = f'(g(x))⋅g'(x) s = ut + ½at² d = √((x₂-x₁)²+(y₂-y₁)²) f''(x) (Σ a_i²)(Σ b_i²) ≥ (Σ a_ib_i)² Normality = Molarity × n